Use the side-splitter theorem to solve for x in the triangle below.

Use The Side-splitter Theorem To Solve For X In The Triangle Below.

Answers

Answer 1

Answer:

[tex] x = 7 [/tex]

Step-by-step explanation:

According to the side-splitter theorem, the two sides of the triangle is divided proportionally if the line that intersects both sides is parallel to the third side of the ∆.

Therefore, based on this theorem, we would have the following:

[tex] \frac{x}{21} = \frac{8}{24} [/tex]

Solve for x

[tex] \frac{x}{21} = \frac{1}{3} [/tex]

Multiply both sides by 21

[tex] \frac{x}{21}*21 = \frac{1}{3}*21 [/tex]

[tex] x = \frac{21}{3} [/tex]

[tex] x = 7 [/tex]


Related Questions

I just need this question solved!

Answers

Answer:

m∠A+m∠B = m∠ACD.

m∠A = 56°

m∠B = 97°

Step-by-step explanation:

In this problem, we are given that m∠B is fifteen less than twice the m∠A.

Let m∠A = x°

This means that m∠B = 2x°-15°

Due the exterior angles theorem,

m∠A+m∠B = m∠ACD.

Since we are given that m∠ACD is 153°,

m∠A+m∠B=153°.

x+2x-15=153

x=56°

That means

m∠A = 56°

m∠B = 2(56) -15

m∠B = 97°

Find the slope and y-intercept of the graph of the equation.

Answers

Answer:

The slope is 3 and the y-intercept is 8

Step-by-step explanation:

The formula y=mx+b with m being the slope and b being the y-intercept,

The numbers in those places show us that 3 is in the slope spot and 8 is in the y-intercept spot.

What is the value of x?

A.) 2√29
B.) 2√61
C.) 2√101
D.) 2√133

Answers

Answer:

e

Step-by-step explanation:

e

Which of the following is the quadratic parent function A.f(x)=1/x B.f(x)=|x| C.f(x)=x^3 D.f(x)=x^2

Answers

Answer:

x^2

Step-by-step explanation:

Find the value of a.
19 in
a
99 in
Perimeter
238 inches

Answers

Answer:

the answer is 60 inches

Step-by-step explanation:

you have to subtract the perimeter and the numbers that are shown after you add them

238-118= 120 then you have to divide that in half wich =60.

so (A)= to 60 inches.

If D varies directly with t and D is 105 when t is 3, find D when t is 8.

a) 280
b) 840
c)35​

Answers

Answer:

a

Step-by-step explanation:

3 ____ 105

8 ____ x

x = 8 . 105 / 3

Answer:

840

Step-by-step explanation:

Brown Middle School wants to keep
seventh-grade dassroom sizes at a
maximum of 22 students per
dassroom. If there are 300 seventh-
grade students and no classroom can
have more than 22 students, how
many dassroom teachers are needed?
A At least 10
B At least 13
C At least 14
D At least 15

Answers

Answer:

D

Step-by-step explanation:

Divide 300 by 22. Using an estimate, 300/20 is 15 so I would say at least 15.

Hope this helps please mark brainliest if correct :D

I have no idea how to do this. The homework is done in 20 minutes help

Answers

Answer:

−4<x≤4

Step-by-step explanation:

Let's solve your inequality step-by-step.

−3<x+1≤5

−3+−1<x+1+−1≤5+−1(Add -1 to all parts)

−4<x≤4

Answer:

−4<x≤4

(ANSWER ASAP) sovle the inequality.​

Answers

Answer:

n < 9

Step-by-step explanation:

Answer:

n < 9

Step-by-step explanation:

If f(x) = 1/4x - 5 then find the value of f(12)

Answers

Answer:

f(12)=-2 because all you do is put 12 in for x so your equation is f(12)=1/4(12)-5

What is the slope of line that passes through the pair of points (4,7),(7,-2)

Answers

Answer: -3

Step-by-step explanation: Plug the points into rise over run and solve

hope this helps;)

help please i am lost lol only if u know anwser

Answers

Answer:

Step-by-step explanation:

(4/3)^-2 = 9/16  

Since (4/3)^2 is 16/9 you will need to flip it since the power is a negative. Hope this helps.

1/3 *1/34 +-67 ......​

Answers

Answer:

-66.9901960784

Step-by-step explanation:

yes

Answer:

-66.9901960784

Step-by-step explanation:

1/3 × 1/34 + (-67)

1/102 - 67

1 - 67 × 102/102

1 - 6834/102

- 6833/102

= -66.9901960784 or -67

Find the other endpoint of the line segment if:
midpoint: (-10, -6) and one of the endpoints is: (-5, 4)

Answers

Answer:

( - 15, - 16 )

Step-by-step explanation:

Coordinates of midpoint are ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

( - 5 + x ) / 2 = - 10 ⇒ x = - 15

( 4 + y ) / 2 = - 6 ⇒ y = - 16

( - 15, - 16 )

Integers from least to greatest -4 -7 1 0 3 -200
Help fast please

Answers

-200 -7 -4 0 1 3 there

Using the diagram below, find the measure of each indicated angle.

Answers

Answer:

a= 140 b=140 c= 40 d= 140

Step-by-step explanation:

a b and d are congruent to the given angle and d is supplimentary to c so 140 +40 = 180

NEED ANSWER FAST! PLS HELP!


In an arithmetic sequence, the 4th term is 18 and the 5th term is 22. What is the first term?​

Answers

Answer:

HI MATE,

Step-by-step explanation:

THE ANSWER IS 6

I really Need help FRFR

Answers

Answer:

289

i think

Step-by-step explanation:

I think you just need to multiply the 163 times the 3 and you will get the answer please mark me Brainliest

Answer:

489

Step-by-step explanation:

She uses 489 tiles because you multiply 163 by 3 to get how many tiles she uses in her third design. :) Hope this helps!!

Abelie flew by plane from Dubai to Rome.
The flight time was 6 hours 42 minutes.
The average speed of the plane was 650 kilometres
per hour.
Work out the distance the plane flew.

Answers

Answer:

4355

Step-by-step explanation:

So first we will see how much is each hour

650 kilometres per hour.

So next we can work out how is 6 hours since that is easy.

650 X 6 = 3900

Next is the 42 mins

All you need to do is

650/ 60 = 65/6

65/6 X 42 = 455

Last step:

3900 + 455 = 4355

Done!

Hope I helped!

The distance is 4,355 km.

Given that,

The flight time was 6 hours 42 minutes. The average speed of the plane was 650 kilometres per hour.

Based on the above information, the calculation is as follows:

We know that

[tex]Speed = Distance \div time \\\\Distance = Speed \times time[/tex]

Now for 6 hours, and 650 km/hr, the distance is 3,900

And, for 42 mins, and 650 km/hr the distance is [tex]650\div 60 \times 42[/tex] = 455

So, the total distance is

= 3,900 + 455

= 4,355 km

Learn more: brainly.com/question/24169758

Find the zeros of the function enter the solutions from least to greatest[tex]H(x)=-5x^2+180[/tex]

Answers

Answer:

x=36

Step-by-step explanation:

The ratio of a to 5 equals b

Answers

What do we do here? Tell me in the comments, please!

The value of a for the ratio a:b = 5 will be 25.

What are ratios and proportions?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that the ratio of a to 5 equals b. When b = 5 the value of 'a' will be calculated as below,

a / 5 = b

a / 5 = 5

a = 5 x 5

a = 25

Hence, the value of 'a' will be 25.

To know more about ratios and proportions follow

https://brainly.com/question/2914376

#SPJ2

Answer problem 1 of trig problem

Answers

Answer:

sin

Step-by-step explanation:

I Give Brainiest

In the figure above,AD intersects BE at C. If x=100 , what is the value of y?

A) 100

B) 60

C) 90

D) 80

Answers

Answer:

The answer is D), 80.

Step-by-step explanation:

All sides of a triangle must add up to 180°. So, if x = 100, angle BCA must equal 60° because 180 - 120 = 60. Since angles BCA and DCE are vertical angles, they are equal, making angles DCE 60°. All you need to do now is add up 60 + 40; that should give you 100. You also need to subtract that from 180 to get your final answer of y = 80°.

The solution is Option D.

The value of y from the two triangles is given by the equation y = 80°

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the first triangle be represented as ABC

Now , let the second triangle be represented as CDE

Now ,

The measure of angle x = 100°

The measure of ∠ACB = measure of ∠DCE ( vertically opposite angles )

And , for a triangle ∠A + ∠B + ∠C = 180°

So , The measure of ∠ACB  = 180° - ( x° + 20° )

And , the measure of ∠DCE = 180° - ( y° + 40° )

Substituting the values in the equation , we get

180° - ( x° + 20° ) = 180° - ( y° + 40° )

when x = 100°

Subtracting 180° on both sides of the equation , we get

- ( x° + 20° ) = - ( y° + 40° )

( 100° + 20 ) = ( y° + 40° )

( y° + 40° ) = 120°

Subtracting 40° on both sides of the equation , we get

y = 80°

Hence , the measure of angle ∠y = 80°

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ2

10.6575
Rounded in whole form

Answers

Answer:

i am pretty sure its 11

Step-by-step explanation:

bc if you look at the nymber next to 0 its .6 and they say 5 and up round UP!!

Answer:

11

Step-by-step explanation:

Rounded to Nearest Whole Number =  

11

Rounded to Nearest Tenth =  

10

Rounded to Nearest Hundredth =  

0

Rounded to Nearest Thousandth =

0

You jog 2 kilometers in 12 minutes. Your friend jogs 3 kilometers in 16.5 minutes. Who jogs faster? You jog faster. Your friend jogs faster. Question 2 How much sooner will the faster jogger finish a five-kilometer race?

Answers

Answer:

a) Who jogs faster?

Your friend jogs faster because he jogs with a speed of 10.91 km/hr

Step-by-step explanation:

Speed = Distance(km)/Time(hours)

Question 2 How much sooner will the faster jogger finish a five-kilometer race?

Your friend's will finish a 5km race at a speed of 18.18 km/hr

Your speed is :

You jog 2 kilometers in 12 minutes.

Convert 12 minutes to hours

60 minutes = 1 hour

12 minutes = x

x = 12/60

x = 1/5 hour

Your speed is calculated as:

2km/1/5hour

= 2 km ÷ 1/5 hour

= 2 × 5

= 10 km/hr

Your friend's speed is calculated as:

Your friend jogs 3 kilometers in 16.5 minutes.

Convert 16.5 minutes to hours

60 minutes = 1 hour

16.5 minutes = x

x = 16.5/60

x = 0.275 hour

Your speed is calculated as:

3km/0.275 hour

= 10.909090909 km/hr

Approximately = 10.91km/hr

a) Who jogs faster?

Your friend jogs faster because he jogs with a speed of 10.91 km/hr

Question 2 How much sooner will the faster jogger finish a five-kilometer race?

Your friend jogs faster, hence:

3 km = 10.91 km/hr

5km = x

x = 5 × 10.91/3

x = 18.183333333 km/hr

Your friend's will finish a 5km race at a speed of 18.18 km/hr

What value is equivalent to 3 x 12 ÷ (4 + 2) ?

Answers

Answer:

1/5

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

3  x  12 ÷ (4 + 2)

3 x 12 ÷ 6

36 ÷ 6

therefore the answer is: 6

Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!

Answers

X=7
10x-2=9x+5
X=7
Lol it says I need more characters to submit this

PLEASE FAST (view picture, math related) IM BEING TIMESS PLSS

Answers

it's it's been a while since I've done this but

every input must have one output

5, 7 and 2

2, 6 and 5

9, 9

4, 15

i believe it would be the middle one and I do not think it is a function.

Function Q gives a puppy's weight in
pounds as a function of its age in months.
Use function notation to represent the
statement.
When the puppy was a months old, it
weighed w pounds.
O Q(w) = a
O Q(a) = w

Answers

Answer:

[tex]Q(a) = w[/tex]

Step-by-step explanation:

Given

w = weight

a = age

Required

Represent the weight as a function of age

When writing a function.

[tex]y = f(x)[/tex]

means that y is a function of x

Using the above to answer the given question, we have:

[tex]w = Q(a)[/tex]

Which means w is a function of a

and can be rewritten as:

[tex]Q(a) = w[/tex]

A number Decreased 23 is 44. Find the number
Which equation can be used to solve this problem?

A) x - 23 = 44
B) 23 - X = 44
C) x - 44 = 23
D) 44 - x = 23

Answers

Answer:

let the number be x

therefore X - 23 = 44 which is A

Other Questions
CAN SOMEONE HELP ME PLEASE:((( i really need help!!Find the value of the expression. 7 (52 12) 6 What the equivalent Fahrenheit temperature of 78 degrees Kelvin? * 3(2x + 4y - 2z) + 7(x + y - 4z) What climate conditions led to the formation of the worlds earliest known civilization?A. wet and tropicalB. wet and coldC. dry and coldD. dry and semiaridReset Next BRAINLIEST IF CORRECTA person is shopping for cereal at a grocery store. Which of the following is aninput for the scenario?Number of boxes of cereal purchasedBrand of cerealTotal cost of the cerealCost of one box of cereal URGENT PLEASE HELP WILL MARK U AS BRAINLIEST!!!!! What is cellular respiration and why do our cells use it? How closely did Johnson Escape removal from office during his impeachment?1. Avoiding a vote2.by one vote3. By 17 votes4. By a wide margin PLS HELP I HAVE THE ANSWER ALL I NEED IS THE WORK! Which of the following statements best describes the interaction of religion and culture? A. Cultures influence religions, but religions do not influence cultures. B. Religions influence cultures, but cultures do not influence religions. C. Religions and cultures influence each other constantly. D. Religions and cultures do not influence each other. Please select the best answer from the choices provided. A B C D Raphael graphed the system of equations shown. y = 3 y = x 0.8 A coordinate grid with 2 lines. The first line passes through the points (0, negative 0.1) and (0.8, 0). The second line is horizontal passes through the point (0, negative 3). The lines intersect at a point with a coordinate of slightly to the left of negative 2 and negative 3. What is the best approximation for the solution to this system of equations? (3.2, 3) (2.9, 3) (2.2, 3) (1.9, 3) Mark this and return The grades on a geometry midterm at Oak have a mean of u = 74 and astandard deviation of o = 4.0.Nadia scored 70 on the exam.Find the z-score for Nadia's exam grade. Round to two decimal places. Explain the role parental and/or institutional "authority" should play in shaping, nurturing, developing, protecting, or guiding the growth of the individual self. Claires mother is 4 years more than twice Claires age. The sum of their ages is 58 years. What is an expression for 25% off $36 Match each word on the left with its more specific and precise replacementmakeprominentdifficultcomplexthinkmanufacturebigrealize Applying a bug fix:Addressing a security flaw:Improving ease of use:Adding new features:1.software update(patch)2.software update(patch)3.software upgrade(new version)4.software upgrade(new version) Margaret Sangers appeal of her 1916 arrest resulted in the legalization of doctors prescribing contraceptives and discussing family planning with patients. creation of Comstock Laws on a state and federal level. opening of her first birth control clinic in Brooklyn, New York. publication of The Woman Rebel, a womens health newsletter. What is a function of the integumentary system?absorbs watergrows new tissuebreaks down chemical bonds in foodforms blood clots 33.6 x 3.1 with explained answer please help ASAP